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Finding the Third Proportional to 41,020 and 58,660

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Solution

The third proportional to 41,020 and 58,660 is: 83,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,020 : 58,660 = 58,660 : x
  2. Step 2: Convert to fraction form
    41,020/58,660 = 58,660/x
  3. Step 3: Cross multiply
    41,020x = 58,660 × 58,660
  4. Step 4: Simplify right side
    41,020x = 3,440,995,600
  5. Step 5: Solve for x
    x = 3,440,995,600/41,020
  6. Step 6: Final answer
    x = 83,885.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.